Volume 2, Issue 5
Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes

Jianping Meng & Yonghao Zhang

Adv. Appl. Math. Mech., 2 (2010), pp. 670-676.

Published online: 2010-02

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  • Abstract

To understand lattice Boltzmann model capability for capturing non-equilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

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@Article{AAMM-2-670, author = {Jianping Meng and Yonghao Zhang}, title = {Analytical Solution for the Lattice Boltzmann Model Beyond Naviers-Stokes}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2010}, volume = {2}, number = {5}, pages = {670--676}, abstract = {

To understand lattice Boltzmann model capability for capturing non-equilibrium effects, the model with first-order expansion of the equilibrium distribution function is analytically investigated. In particular, the velocity profile of Couette flows is exactly obtained for the D2Q9 model, which shows retaining the first order expansion can capture rarefaction effects in the incompressible limit. Meanwhile, it clearly demonstrates that the D2Q9 model is not able to reflect flow characteristics in the Knudsen layer.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.10-10S09}, url = {http://global-sci.org/intro/article_detail/aamm/8353.html} }
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